Thanks Alan,
I will do some of what Alan did only a little slower
$$\\-y^2 + x + 20y - 94 = 0\\\\
$Mult both sides by -1 $\\\\
y^2 - x - 20y + 94 = 0\\\\
y^2 - 20y- x =\;-94\\\\
(y^2 - 20y+(\frac{-20}{2})^2)- x =\;-94+(\frac{-20}{2})^2)\\\\
(y^2 - 20y+100)- x =\;-94+100\\\\
(y-10)^2- x =\;6\\\\
(y-10)^2 =\;x+6\\\\$$
this is sideways parabola that opens out in the positive direction.
I know it is a parabola because one of the varibables is squared but not the other. And both are on the top and they are not multiplied together or anything strange like that.
I know it is sideways because it is the y that is squared, not the x.
I know it opens out in the positive direction because the number in front of the y^2 is an invisable 1 and it is Positive
I can see that the vertex is (-6,10)
I can see other things too but that might be enough for now. Alan's graph will hopefully backup everything that I have said. :)
PS. There was a small error that i have fixed. Thanks Alan
This can be re-written as (y - 10)2 = x + 6, so y = 10 ± √(x + 6)
This is a parabola.
.
Thanks Alan,
I will do some of what Alan did only a little slower
$$\\-y^2 + x + 20y - 94 = 0\\\\
$Mult both sides by -1 $\\\\
y^2 - x - 20y + 94 = 0\\\\
y^2 - 20y- x =\;-94\\\\
(y^2 - 20y+(\frac{-20}{2})^2)- x =\;-94+(\frac{-20}{2})^2)\\\\
(y^2 - 20y+100)- x =\;-94+100\\\\
(y-10)^2- x =\;6\\\\
(y-10)^2 =\;x+6\\\\$$
this is sideways parabola that opens out in the positive direction.
I know it is a parabola because one of the varibables is squared but not the other. And both are on the top and they are not multiplied together or anything strange like that.
I know it is sideways because it is the y that is squared, not the x.
I know it opens out in the positive direction because the number in front of the y^2 is an invisable 1 and it is Positive
I can see that the vertex is (-6,10)
I can see other things too but that might be enough for now. Alan's graph will hopefully backup everything that I have said. :)
PS. There was a small error that i have fixed. Thanks Alan